Analytical Mechanics (Undergraduate Lecture Notes in Physics)
Download Analytical Mechanics (Undergraduate Lecture Notes in Physics) written by Carl S.Helrich in PDF format. This book is under the category Engineering and bearing the isbn/isbn13 number 3319444905/9783319444901. You may reffer the table below for additional details of the book.
Beginning with the Lagrangian version of Analytical Mechanics, this advanced undergraduate Analytical Mechanics (PDF) textbook then moves on to the Hamiltonian formulation and the canonical equations; restrictions are added through the use of Lagrange multipliers. The remainder of the text will continue to center on Hamilton’s Principle and the canonical equations as its foundation.
Small oscillations, motion in electric and magnetic fields, and the dynamics of stiff bodies are some of the topics that are taken into consideration for applications. In order to make the move into the analysis of complex and chaotic systems as seamless and rational as possible, the Hamilton-Jacobi method was developed with a specific focus on the canonical transformation. In conclusion, the subject of relativistic mechanics and the demand for Lorentz invariance are discussed in depth in the accompanying textbook.
The e-book is enhanced with a summary of the history of mechanics, which focuses on the significance of the contributions made by Euler, Lagrange, Hamilton, and Jacobi.
The study of Analytical Mechanics is extraordinarily clear and succinct, and it is supported by a large number of exercises that come with solutions.
Table of contents
Table of contents :
Front Matter….Pages i-xv
Lagrangian Mechanics….Pages 51-92
Hamiltonian Mechanics….Pages 93-120
Solid Bodies….Pages 121-165
Hamilton–Jacobi Approach….Pages 167-214
Complex Systems….Pages 215-228
Chaos in Dynamical Systems….Pages 229-246
Special Relativity….Pages 247-304
Back Matter….Pages 305-349
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